{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from pandas.plotting import register_matplotlib_converters\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "register_matplotlib_converters()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ice Cream Production Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#read data\n",
    "df_ice_cream = pd.read_csv('ice_cream.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>DATE</th>\n",
       "      <th>IPN31152N</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>0</td>\n",
       "      <td>1972-01-01</td>\n",
       "      <td>59.9622</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>1972-02-01</td>\n",
       "      <td>67.0605</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2</td>\n",
       "      <td>1972-03-01</td>\n",
       "      <td>74.2350</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>3</td>\n",
       "      <td>1972-04-01</td>\n",
       "      <td>78.1120</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>4</td>\n",
       "      <td>1972-05-01</td>\n",
       "      <td>84.7636</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         DATE  IPN31152N\n",
       "0  1972-01-01    59.9622\n",
       "1  1972-02-01    67.0605\n",
       "2  1972-03-01    74.2350\n",
       "3  1972-04-01    78.1120\n",
       "4  1972-05-01    84.7636"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_ice_cream.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#rename columns to something more understandable\n",
    "df_ice_cream.rename(columns={'DATE':'date', 'IPN31152N':'production'}, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#convert date column to datetime type\n",
    "df_ice_cream['date'] = pd.to_datetime(df_ice_cream.date)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#set date as index\n",
    "df_ice_cream.set_index('date', inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "#just get data from 2010 onwards\n",
    "start_date = pd.to_datetime('2010-01-01')\n",
    "df_ice_cream = df_ice_cream[start_date:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>production</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>date</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>2010-01-01</td>\n",
       "      <td>91.2895</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2010-02-01</td>\n",
       "      <td>110.4994</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2010-03-01</td>\n",
       "      <td>127.0971</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2010-04-01</td>\n",
       "      <td>132.6468</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2010-05-01</td>\n",
       "      <td>134.5576</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            production\n",
       "date                  \n",
       "2010-01-01     91.2895\n",
       "2010-02-01    110.4994\n",
       "2010-03-01    127.0971\n",
       "2010-04-01    132.6468\n",
       "2010-05-01    134.5576"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#show result\n",
    "df_ice_cream.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(df_ice_cream.production)\n",
    "plt.title('Ice Cream Production over Time', fontsize=20)\n",
    "plt.ylabel('Production', fontsize=16)\n",
    "for year in range(2011,2021):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ACF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Pv1dETonIXv/vtrzHbhGRQ/7fLUGUp9nkj/9PZ13OTKR56fQEe4+OcPTMVMVDQotddbeMHqPj5X+KxNV4IiG0DR+m85V/4vILl4ceBFxXeeaVs/zNMwM888pZ3EYai2vMHKruLBaRJPA54C3AAPCUiOwqsvbwg6r6wYJjVwB/CPQDCjztH3u22nI1upOj04xOZZhIO7PmGQQld9X9b3/n93G6evng+3byhTvuQtBZ2+M+ht+Gs5pmFkSN4ArgsKoeUdU08ABwwwKPfSvwqKqe8U/+jwLXB1CmhpV1XH5yYpQjpyY4PZ6uWRDIKbzqzqXFjtrVeNiKdazXuwPdmFoJIhCsB47m3R/wtxX6f0XkORF5SET6yjwWEdkpIntEZM+pU6cCKHb0OK7y/LFznJ2wpR2jZq7hrMY0uiACQbFLxcLG078FNqrqG4HvA/eVcay3UfUeVe1X1f7Vq1dXXNhCjqvsPnCSz+w+xO4DJxc0CasWXFUm0w7TGcv9H0U2nNU0syAmlA0AfXn3LwAG83dQ1eG8u38FfCrv2GsKjn08gDItiCKRyPypqkxlHEv4RumZzmHLdazve/U0JFtob22x4aymaQQRCJ4CtojIJuAYcBPw7vwdRGStqh73774dOODffgT4pIjkpor+CnBHAGVakKnuTbMWi8ll/gwi4dtCDZydwnHCP9mFrdRM5yXPPhB6yotiHetx70A3zaPqQKCqWRH5IN5JPQncq6r7ROROYI+q7gI+LCJvB7LAGeC9/rFnROQTeMEE4E5VPVNtmRYqvbi3ppk/FyLrqi0C4yuWX4il60mv3ByJETu5DnSGD3P5hR+p2+vOJewAaZpDILmGVPVh4OGCbR/Pu30HJa70VfVe4N4gylGuWmX+XCjHVabSDtYi5Ck10znT83pLQFeEDWk1QYn1zOLOkZdmLRZTbebPhRpPZb3FaCwKnFdqpjOIjdgpIopDWm3SXWOKdfbRoDN/LpTjKgeOj1oQKFCsQ9Y5c4zWoQPIBW88XyOA+o3YiWqabohehlaroTSuWAcCmL1YTJAyjovrn+wdVxmZzDCRyuKokrXO4VlKzXQG2BjCiJ0op+mG12pQYQTIYmwNicYV+0AQtMl0luHxNMMTxWcFhzVPoVEUdsjmho6GMWKnVOd1fpru3PYwTnhRG9IatRqKWbhY9xEE7dRYiucGzjFwdqrmqSHiJoyUF1FO0w3Ry9Bqk+4alwWCgJwcnebw0LiNAGoiUU7TnROlnFC2hkTjskAQgBPnpjlyKt4jWJpR1NN0R03Uaihm4SwQVOncVCb2wxibVbET25JnHyCBG+oJr3CIphZN2RWOKNVQzMJZZ3EVHFd58dTczUFRzZ1jFqZU53VYs4yjmIYjykNszcJYIKjCS6cnSM2RLXSuH60xlYhaGo6oD7E1C2NNQxU6M5Hm1Fhqzn2KzfzMLl1PZuXF9SmkaToLScNRz1nGpf6P5w+xjcqsZ1OaBYIKTKUdjpwan3e/Uj9ap6v0xDWbom/mErU0HFEfYmu/p4WxpqEypbIO+4+PklnAzOBiMz9xsiTHTxbdXxGrTps5RS0NR6n/4y3nBkj2XBzqrGdLebFwViMoQ8ZxOXB8bPYVUAmlhh+2Dr9Y/PlXXhzJ6rRdVUVHqZFMbcOHQxnSGuUhtlFMyhdVFggWQFUZmUzzk+NjZc0YLvWjLTVqyOnqrUt1upzhh7laymceO8RDTw/wmccO8cnvHbBgEKLCIZqCImgoQ1qjOsQWbJ3pcljTUIGM43J6PEXuPJfKOJyZSC+oKaiYUsMPi0mOn6x5ErFyRzLl11LAEolFWVhDWqM4xHbv0REGR6ZoScqM366lvCjOAkGeyXSWgyfGQltAvnX4RS6scRKxUsMPS41kmquWYoHARE3+hU4q63p1XfX+/4adlC/KAmkaEpHrReSgiBwWkduLPP7vRWS/iDwnIrtF5MK8xxwR2ev/7QqiPJXIOsoLx0ZDCwJAXar35Y5kytVS8tlVlYmqwgsdBXAd2k7us5QXc6g6EIhIEvgc8DZgO3CziGwv2O3HQL+qvhF4CPhveY9NqeoO/+/t1ZanEq4qk5lsJFJE13qKfqnhh6VGMrUOvxh6p58xC1X0QieRJDl5hh193ew9OmKDHooIomnoCuCwqh4BEJEHgBuA/bkdVPUHefs/AfyrAF43MKmsS1yyPpQcflhiJFOullLLtQAsDYcJSqnhrInxIRtKOocgmobWA0fz7g/420q5Ffhe3v0OEdkjIk+IyI2lDhKRnf5+e06dOlVdifOksg4ZJ7zmoHordyRT7pha1VJybbr5o5LGLr0pUonUTOMoNZwVsKGkcwgiEBT7xRY9q4jIvwL6gf+et3mDqvYD7wb+TESK9lqq6j2q2q+q/atXr662zOcdH5mOTW0gp9jww7BEMQ1HlLN7mrmVutBxu3psKOkcgmgaGgD68u5fAAwW7iQibwY+CvySqp5P0qOqg/6/R0TkceAyoHg7RcBUvQVlTHgqTcNRq6yWlSQKtCyb0VJsOGs9hmY3siACwVPAFhHZBBwDbsK7uj9PRC4DPg9cr6pDeduXA5OqmhKRVcDVzOxIrql01sX6i8IVtTQc5Q6vjWtakEbr16nH0OyFiuKFQ9WBQFWzIvJB4BEgCdyrqvtE5E5gj6ruwmsK6gK+KSIAr/ojhLYBnxcRF6+Z6m5V3V/0hQKmCukY9Q1EVbmd17We4FZuDSWOE+4asdZUj0EPCxHV/EeBTChT1YeBhwu2fTzv9ptLHPdD4GeCKEO50o6L2gLDocu16eb/QL9wx10VpeEI4sRbbg2lXhPuyr0Cr+WJt1FrTWHNdM5X7LOLwoVDLGcWO64uOHGcqb0opeEot4YSxbQgtT7xRrHW1ChNVXPlPwozEMQy6dzweMpqAw2q1hPcyh1eW48Jd+WOrKp1FttyJyXWOpliIwxBzo1Ey+U/ypdMCIMjU6FOcotlIHAsCDSseqThKGd4bRTTgtT6xFtuevVapymJ4hDkfPmB6p9eHCbrqJf/SL1cSI4qP3xxONTMvrEMBKax1ToNR9TKU+4VeK1PvFGrNVUyBLmeSuU/ahl5lZakoErok9wsEBgTceVegdejuSpKtaZyAyXUd7GlUvmPUPVqB3nCmuRmgcCYiCv3CjysRWrmUstaU7mBst6LLZUKVC3nBiKT2dcCgTENoNy0IFFrPqulcgNlvZeEjfJynjkWCIwxDa+cQFmvJWHzyxbV5TzPl7Hur2iMMSEKY7GlUoEqf3uY6yXEckKZMSa+6pV3qJxJbmHPvrZAYIyJlXottlTObPCwc1ZZ01Ceeg4pM8aEp9ad6eVOcqt3v0UhqxH4wq6aGWOaR7mT3MJeL8FqBL56DykzxjSvcie51WMS4FwsEPjCrpoZY5pHuZPcwp4EaIHAF8aQMmPiKKi+uCivLV3uJLfcMWFNArQ+Al+UlrIzplkF1RdXySpp9VbOOhthC6RGICLXi8hBETksIrcXebxdRB70H39SRDbmPXaHv/2giLw1iPJUIuyqmTFRF8QVeFB9cUGnno7aiMF6l6fqGoGIJIHPAW8BBoCnRGRXwdrDtwJnVXWziNwEfAr4TRHZjrfY/SXAOuD7IvI6VXWqLVclorCUnTFRFNQVeFBLewaZejpq6wjPVWuqFal2pS4ReRPwR6r6Vv/+HQCq+sd5+zzi7/MjEWkBTgCrgdvz983fb67XXHHhNn3LH9xbdln3PrsXgO1veCPPP/ssAFu2v4FD+18oejsopZ5/IbdrJWplsvJEu0xj01mOjUwx43ShLomJ02zdcvGCy+O2dqJLemY8jwis7+5kScfCr0uDKg/AmoteP+u5KilTMZV8Z3N9Rj1L2mlNVt6Q8433/dzTqtpfuD2IQPAO4HpVvc2//9vAlar6wbx9XvD3GfDvvwhcCfwR8ISqfsXf/kXge6r6UJHX2QnsBOhae/HP/uof3l9xmdOOy3Rm/kpHpT+8zdsu4aeHj0CyjXXr1tLVnkSksiuLuX7YYZ0YqnndZi+Pqs767g8f2BepMh0/8hOkzDK4HctwO2f3l63uamPVkvayyvLqmSmmMg6q3glO01Mkx4d4XRnlUaC996IZz9PZmmTDis6yf2unxlKcHk8XFpTE9Dm2XtRX99/+XOXZsXVjZAPBO4G3FgSCK1T1Q3n77PP3yQ8EVwB3Aj8qCAQPq+q35nrN/v5+3bNnT8VlPn5uipdPT8673wfe/XYAPve1XQu+rQjrfuuPZ3U6V1rNLPValZYv//hKuK7OmJr/hTvei6AVlSGI8kB1n0OQ5ck1MRR+94NfvaOiz+izX/lO1WkQipXJGXqRJc8+wP/82ncWXJ70ys1kLr9pxoSn9pYEH752S9kpEApz8FT6f+izX/nOjOepNE3EM6+c5TOPHZrx3sim6dr/bf7qs39a99/+XOXZ/cDn6V3aUfZ7zBGRooEgiM7iAaAv7/4FwGCpffymoWXAmQUe21BynWG0tIEkqpqY5rpKeuVmpi68uurhcYXPVUnnU+6kMr79RqY2/UIkFwmvVBCfT64Ds/C7r6QDM9dOnP9ZV7J4SrEyVdKpmpvw1N6SQKCqCU+JhHD5hcv5jcsvWNDaCgt9nkrb83Nj/vPf21xj/ksJ6rcfVHnKEcTw0aeALSKyCTiG1/n77oJ9dgG3AD8C3gE8pqoqIruAr4nIn+J1Fm8B/jmAMoUmqM6w/JMuyRY+89ihiofH5Z9Ucs9VyZXKjJMK3kgNIrRIeKWC+nyKdWCmsy6Jrl4YPlxWmWacVKg8CVlQnaq5UXVBXIFHTW7M/8xayl1lB6igfvtBlaccVQcCVc2KyAeBR4AkcK+q7hORO4E9qroL+CJwv4gcxqsJ3OQfu09EvgHsB7LAB8IaMRSUoHKGBHnSjdpJBV67Ane6ennmlbMVn1QKn2euVL+lBPX55NIKFH73c62dW0pQJ5ViZZpvPd9Sclfg9ciGWW+F762Sk26Q+YKCKE9ZrxfEk6jqw6r6OlW9WFXv8rd93A8CqOq0qr5TVTer6hWqeiTv2Lv847aq6veCKE+YgqpCB3nSDSp9RiWLhBcTVLNHUE1VQX0+xar0m3u6KqrSBzXTPYxmhrgKsvksX36z5f85dBqnBnMKbGZxwIKqQgd5JRfUlUrupDJjLPmZKttSqfwKPKhaU1CfT7Eq/Y6+bj701fJ/uLmZ7oVjycs9qYTRzBBXtWg+K2wi/ti3X+Bbzwxw/61XkgywWc4CQQ0EUYUO6qQL0TupRG1SUVCfDwTXfBLkSaXezQxxFnTzWeHFzlTGYe/RER4/OMR128pvHSjFAkFEBXklF7WTSlBX4EHVmqLaEdrMbfKVCqpvqVEUu9iZSjvsHxy1QBAXQV7JRemkEtQVeJC1pih9PnFSTmd/UKO7gixTrRW72OlsS7J93dJAX8cCgam7oK7Arf27sZU7RDqovqUgy5Q7pla1lMKLnY7WJDv6urlma08gz59jgcCEIqgrcGv/blzldvYH1bcUZJlqXUspvNi56qKV3HjZ+kA7isECgTEmJFFc17fcMtWjlpJ/sXPR6sWBBwGwFcqMMSGpdF3foMfpV1OmZlni1moExphQlNvZX4/RXeWWqR61lHqwQGCMKamWHaGVdPbXenRXuWUKcg5KmCwQGGOKqsdwzSh29pdTpqjOQSmXBQJjYqScMfL16AiNuoV8Xs0wByWWncW16HU3JurKTdLXLB2hlZrr8wpi/YooiWUgWLW4nbYWCwYmXspdpCaoDKjVCuukW+rzSq/cHEj23CiJZSBIJIQ1yzrDLoaJgXJXmavlSa/cMfL1GK6Zr9hnFVTK8kqU+rymNv0CPz05FsgqhFER2z6CNUs7GByZIus0bhQ30VZuuoJad86Wm6Svnh2hpT6r9oE9ofVTFP28ENyuXtyC80bQM5zrLZY1AvD6CdZUsQi0MfMptykmyPWui6lkkZqg1gWeT8nPqmdbaP0U+Z/XeSLeX4FGnDuQr6pAICIrRORRETnk/zsrHIrIDhH5kYjsE5HnROQ38x77soi8JCJ7/b8d1ZSnXGuWdVjHsamZcptiat05mxsj/+Frt/COn72AD1+7hSXPPhCJIZulPqvs4lW0JGf+Rh+XYooAABUHSURBVOt10s3/vC6ZI9tnrZvM6qHapqHbgd2qereI3O7f/0jBPpPAe1T1kIisA54WkUdUNXeZ8x9V9aEqy1GR1mSC3qXtDI5Mh/HypsmV2xRTj1mqURy3D3M3w6ij3kW4UvcJW7nPC+Dw0PiM8rUkhKsuWsmbLlrZkHMH8lXbNHQDcJ9/+z7gxsIdVPWnqnrIvz0IDAGrq3zdwKxd1kkDf38mwsptiql352yUzNUMo0BShKs3r+LD124JfP2BcsuX+262rlnC+3/p4po2mdVLtTWCXlU9DqCqx0VkziTZInIF0Abk/xLuEpGPA7uB21U1VeLYncBOgA0bNlRZ7Ne0tSToWdrBiXNWK4ibWq92VW66gmaZpVqJ/M/q4ReOs29wdMbjjqusXdYRWmdsqfWom+W7mTcQiMj3gTVFHvpoOS8kImuB+4FbVDVXv7oDOIEXHO7Ba1a6s9jxqnqPvw/9/f2B1mfXLuvg5Og0Go1asqmDeq12VW5TTDPMUq3UXM0wUeiMbebvZt6mIVV9s6q+ocjfd4CT/gk+d6IfKvYcIrIU+DvgY6r6RN5zH1dPCvgScEUQb6pcHa1Jtq1ZSmuyOaK7mV+tR+iYyhVrholLE1lYqm0a2gXcAtzt//udwh1EpA34X8Bfq+o3Cx5b6zcpCV7/wgtVlqdiyxa18ob1yzh4YozJtBOpdUujKmqfUTnlqcdqV40q7AXim70ZJoqqDQR3A98QkVuBV4F3AohIP/A+Vb0NeBfwi8BKEXmvf9x7VXUv8FURWQ0IsBd4X5XlqUpHa5I3rF/G0Og0H/r6j5m45EY00cJnf3CI7DzrlsZNJWu7Rqk8zZJHvhrFAidQlyaz+TRzM0wUVRUIVHUYuK7I9j3Abf7trwBfKXH8tdW8fi0kE8L+46PsPz6KJr3ZjNMZF1m2HmfV5pBLFx3lru0Ktb3SLLc8zZJHvlJRnMlrwhPbFBNz2Tc4ylTambFNEy3IsjUsbk+GVKpoKXeyVK07Z8stT5xH6EDpwJnomSBjTWaxE9sUE3O5ZN1SOttmnvDFzdI+OcTr1yxtmJNFLROYlbu2a607Z8stD9QvfUIUlQqcoJHIOGrqywJBEdds7WFHXzeL2pIIsKgtSfv4cTpHXqKtJeFtL8g3UutUueU+f62zNpY7WarW6RMqyaMTFWGkWS4VOFuHfmIjdmLImoaKSCaE+2+9kscPDrF/cJTt65Zy5/s/dX4ESkJkRo2h1s0exdpzN/d0hbq6VLmTpWrdOVvJ+rf1FqXO2cJF2luTQnbsDE5XL9dfsgYugVfPTMauySyuLBCUkEwI123r5bptXhvzJwpOKC0JoXdpO1D7k26x9tzDQ+O0rryYtuHDRY+px/DIciZL1aNzNqp5dCB6nbP5gfOl0+P888tneTW1gulNP8+f/+BwKCOFTHgsEFThwpWLSSSk5ifdYu256axLoqsXSgSCqA2PtM7Z6HXO5s/k/dvnjttIoRizPoIqJBNCZ2uS5ERtl/Qr1p7b1pKYsyM0ignMrHM2mp2zpS404rI2sbEaQdWSCWHp6Mus6OniUI2aPQrbc3PPPzhHR2jcr8CjplRK6tahn7Dx8qtDnc9QrGw2UiheLBAEoC0pfOGWf8G3nhng5dPBn3RLTbn/0FctgVmjKBbMnTPHaBs+HHrALnWhYSOF4sMCQUDWLOvgpn/Rx6Gh8ZpkMbWTemMrDOYbViziL//kQaYv/Dn2Hh1hR1+3pVg2obFAEKCVXe0sbm/hzESaMxNpxqazYRfJREgumO/o6+aT3zvAxPYbQs3nU6xsdqERTxYIAtbRmmRddyfrujtx8iYGZRyXc1MZzk6mOTeZoQ5zhkxElRoObKN0TFhs1FANJRNy/q+jNUnv0g5ev2Ypb1i/zNY+CEkYs3gL2SgdEzUWCEKwuL2F7euW0tZiwaCeap12Y6FKDQe2UTomLBYIQrKorYVtay0Y1Erhlb8ikVmVzFbgMlFjfQQhWtTWwut6l7BvcNTWSw5QqXQOLSNHI7EqmY3SMVFjgSBkSzpa6VuxiFeHJ8MuStMolc6h5dxAZCZO2SgdEyVVNQ2JyAoReVREDvn/Fv1fLSKOiOz1/3blbd8kIk/6xz/or28cO+u7O+le1Bp2MZpGyXQO6lqTjDFFVFsjuB3Yrap3i8jt/v2PFNlvSlV3FNn+KeDTqvqAiPwlcCvwF1WWqSFt7uniuYFzs09gDSJKC9mXSufQMn7SmmSMKaLazuIbgPv82/cBNy70QPFWdrkWeKiS45tNazLB9rVLWdTWeEth5rfJ50bjjF16E4qEMlxzrkVq4pz4zphSqq0R9KrqcQBVPS4iPSX26xCRPUAWuFtVvw2sBEZUNTf9dgBYX+qFRGQnsBNgw4YNVRY7mjrbkrxh/TKOnBrn9Hg67OIsWKk2+fTKzaEsutIIi9QYEyXzBgIR+T6wpshDHy3jdTao6qCIXAQ8JiLPA6NF9iv5S1XVe4B7APr7+5v2F51MCFt6l7B8cYrRqQwTKYfJdBaFyI4sKtUmn+l5fWgzaPM7Y11Xyay8+HyzlTUHGTPTvIFAVd9c6jEROSkia/3awFpgqMRzDPr/HhGRx4HLgG8B3SLS4tcKLgAGK3gPTWlVVzurutpnbXddZWw6y7mpDImEhDIztlCpNnmQ0Idrllrm01bfMuY11fYR7AJu8W/fAnyncAcRWS4i7f7tVcDVwH5VVeAHwDvmOt7MlEgIyxa1smHlIrraW+hoTZIM+YRWsk1+6EDoM2hnNFuFOInMmCirto/gbuAbInIr8CrwTgAR6Qfep6q3AduAz4uIixd47lbV/f7xHwEeEJH/CvwY+GKV5akJx1Umuy8ivbiX3QdOhjoipliZhidSJBIJXNedNXqnHs0gpdrkATaGnOd+rrw+NobfGE9VgUBVh4HrimzfA9zm3/4h8DMljj8CXFFNGWrNcZXf/uKTnNryL9FECx/6+o9xt72T3gPfjEyZfv8bz+LuuJklzz0YWjNIqYXjwx6uaatvGTM/yzU0j8cPDrH36Aia9JoWJtMOqa61THVvOn9VPrL+Tew+cHJG2ukwypTeeDVHTkWrGSTs4ZqW18eY+VmKiXnsGxxlKu3M2KaJFlKLe2bVFHb0dXP/rVfWvM2+ZJmWrieVCb8ZJIzmqVIsr48x87MawTwuWbeUzoJJXuJmgcSsq/K9R0d4/GDRgVN1KVP76LFZ2+vdDFJsclkYqZ7zhV0rMSbqLBDM45qtPezo62ZRWxIBFrUlaR8/Duisq/KptMP+wWLTI+pTpmXHnpi1fUdfN7/2xrUs62ylJSlIjc+BNkrHmMZjTUPzSCaE+2+9kscPDrF/cJTt65Zy5/s/xVT3JjrbkkzmBYPOtiTb1y0NrUyCztp+zdaekk1V0xmHVMZlKuNwYnR6VmCrhI3SMabxWCBYgGRCuG5bL9dt6wXgEyidIy+xua+bvUdHmEo7dPpX39dsLZVlo/ZlKrZ9Lh2tSTpakyyjld6l7QyNpRg4O1VV4jsbpWNM47FAUKFyr76jTkToXdrBqq52Xjw1znCFuY5yo3TCnDtgjCmPBYIqlHP13SiSCeF1vUsYaJtk4OxU2fmNbJSOMY3HAoEp6oLlXgqLl4cny+47sNW3jGksNmqoCdRqYlv3ojYuvWAZm3u6Zg1LNcY0D6sRlKkw71DY/QLFUmAEObFNRFi9pJ3VS9pJZR1SWZfpjIOb15+ccVwm0w5TGSeQkUfGmPqyQFCGWp90KzEj3QTMmNgWdN9Fe0uS9pYkSztKr688mc5ycjTFqbFU3VJuGGOqY01DZSiW46des4lLKZZuol4T24pZ1NbCplWL+dkLl3PB8k6sj9iY6LNAUIaonXSheLqJek1sm0syIfStWMSlfd2s6moLtSzGmLlZIChDFE+6xdJN1HNi23w6WpNs6V3Cjr5u1i7roCVpVQRjosb6CMqQO+mGNZu4mGLpJsLuwC6msy3JxlWL6VuxiPHprNexnHHIOu75JX4cV8k6SsZ1SWfdyK7RbEyzEW3AX1t/f7/u2bMnlNd2XI38SbcZZByXs5Npzk5kGJlMY/3OxsBFqxfTu7Sj4uNF5GlV7S/cXlWNQERWAA8CG4GXgXep6tmCfX4Z+HTeptcDN6nqt0Xky8AvAef8x96rqnurKVOtNeNs4ihqTSboWdJBz5IOUlmH4yPTDNlIJGNqoto+gtuB3aq6Bdjt359BVX+gqjtUdQdwLTAJ/H3eLv8x93jUg4AJR3uL16x02YZuNq5aRPeiVhuNZEyAqu0juAG4xr99H/A43oL0pbwD+J6qTlb5uiaGWpMJ1i7rZO2yThxXmco4OI6SdV0cVXKdDY4q0xlv4ttkOks6a7UIY+ZSbSDoVdXjAKp6XETm6zW9CfjTgm13icjH8WsUqpoqdqCI7AR2AmzYsKG6UpuGl0wIXe0L++87Np3h7ESG0xOpWUt5GmMWEAhE5PvAmiIPfbScFxKRtcDPAI/kbb4DOAG0Affg1SbuLHa8qt7j70N/f79d4pkFW9LRypKOVvpWdDIymeHk2DQjkxkblWSMb95AoKpvLvWYiJwUkbV+bWAtMNcU23cB/0tVM3nPfdy/mRKRLwH/YYHlNqZsIsLyxW0sX9xGOusyMpXm3GSG0emMNR+ZWKu2aWgXcAtwt//vd+bY92a8GsB5eUFEgBuBF6osjzEL0tby2qgkANdV0o5LJm9eg6q3PesqGcdlPJVlbDpb1QpuxkRRtYHgbuAbInIr8CrwTgAR6Qfep6q3+fc3An3A/19w/FdFZDUgwF7gfVWWx5iKJBJCR8JbunM+0xmH4Yk0Z8bTjKeydSidMbVVVSBQ1WHguiLb9wC35d1/GVhfZL9rq3l9Y8LQ0ZpkfXcn67s7mc44jE1nGU9lmUhlybqK4//ls/kPJsosxYQxVeho9WoRq5e0z7mfqtfElHWUyXT2/PoNY9Y/YSLAAoExdSAitCaF1qSXd2ll3mO5WkV+gMhkXUurYerGAoExIcvVKmBmrSLXUa1+97Wq34GtiqNKyp80N+UHEuvENpWyQGBMRCUSQttcuTQKco/lahZTfq1iOuOQdb2aheOqzZswJVkgMKZJvFazmF+uz8Lxh8bm1qKezrhMpb3UHNY0FR8WCIyJofw+i47WJEsKHlf15lWksi6pjOvlc/JrFfk1C1f1/F86q0xnHUvj0YAsEBhjZhER2luStLckZzVBzcd1lcmMw4Q/AW8ynWU649oQ2gizQGCMCVTCTwjY1d5Cb94qrumsS9rJ1Sx0RtOTqtcl7iWR1fOr1Tmul10243j3vT4PxXG92oj1ewTDAoExpi7aWhK0tdRmmfT8lRZdfa3JygsgXgBKZ72mrnTWPd834rheQMoFopnPWZOiRpIFAmNMw/PSlXmSAkm8+wvMVF6S+rUOJ9cX4nK+vyTrKq7rDeXN7z8pDCm5gKL+8+UCj+M/n5s7nvxaTvHajtRoQSYLBMYYU4KIIAIJ8s/ACxuZ1UhqU08zxhjTMCwQGGNMzFkgMMaYmLNAYIwxMWeBwBhjYs4CgTHGxFxVgUBE3iki+0TE9ZenLLXf9SJyUEQOi8jteds3iciTInJIRB4UkbZqymOMMaZ81dYIXgB+A/iHUjuISBL4HPA2YDtws4hs9x/+FPBpVd0CnAVurbI8xhhjylRVIFDVA6p6cJ7drgAOq+oRVU0DDwA3iDcV8FrgIX+/+4AbqymPMcaY8tVjZvF64Gje/QHgSmAlMKKq2bztsxa4zxGRncBO/+64iMwXgEpZBZyu8NhGFbf3HLf3C/F7z3F7vxDMe76w2MZ5A4GIfB9YU+Shj6rqdxbwwsWyY+gc24tS1XuAexbwenMXRmSPqpbsz2hGcXvPcXu/EL/3HLf3C7V9z/MGAlV9c5WvMQD05d2/ABjEi2zdItLi1wpy240xxtRRPYaPPgVs8UcItQE3AbvUyxv7A+Ad/n63AAupYRhjjAlQtcNH/x8RGQDeBPydiDzib18nIg8D+Ff7HwQeAQ4A31DVff5TfAT49yJyGK/P4IvVlGeBqm5eakBxe89xe78Qv/cct/cLNXzPonFafcEYY8wsNrPYGGNizgKBMcbEXKwCQalUF81CRPpE5AcicsBP/fE7/vYVIvKon8rjURFZHnZZgyQiSRH5sYh817/f1KlLRKRbRB4SkZ/43/WbYvAd/57/f/oFEfm6iHQ02/csIveKyJCIvJC3rej3Kp7P+Oey50Tk8mpeOzaBYJ5UF80iC/y+qm4DrgI+4L/H24HdfiqP3f79ZvI7eAMRcpo9dcn/AP63qr4euBTvvTftdywi64EPA/2q+ga8tSJvovm+5y8D1xdsK/W9vg3Y4v/tBP6imheOTSCgRKqLkMsUKFU9rqrP+LfH8E4Q6/He533+bk2VykNELgB+DfiCf7+pU5eIyFLgF/FH2KlqWlVHaOLv2NcCdIpIC7AIOE6Tfc+q+g/AmYLNpb7XG4C/Vs8TeHOy1lb62nEKBMVSXZRMadHoRGQjcBnwJNCrqsfBCxZAT3glC9yfAf8JcP37ZaUuaUAXAaeAL/nNYV8QkcU08XesqseA/w94FS8AnAOeprm/55xS32ug57M4BYKyUlo0MhHpAr4F/K6qjoZdnloRkV8HhlT16fzNRXZtpu+5Bbgc+AtVvQyYoImagYrx28VvADYB64DFeE0jhZrpe55PoP/P4xQISqW6aCoi0ooXBL6qqn/jbz6Zqzb6/w6FVb6AXQ28XURexmvquxavhtDtNyFA833PA8CAqj7p338ILzA063cM8GbgJVU9paoZ4G+An6O5v+ecUt9roOezOAWCoqkuQi5ToPz28S8CB1T1T/Me2oWXwgOaKJWHqt6hqheo6ka87/MxVf0tmjh1iaqeAI6KyFZ/03XAfpr0O/a9ClwlIov8/+O599y033OeUt/rLuA9/uihq4BzuSakiqhqbP6AXwV+CryIlz019DIF/P5+Hq96+Byw1//7Vbx2893AIf/fFWGXtQbv/Rrgu/7ti4B/Bg4D3wTawy5fwO91B7DH/56/DSxv9u8Y+C/AT/AWw7ofaG+27xn4Ol4fSAbviv/WUt8rXtPQ5/xz2fN4I6oqfm1LMWGMMTEXp6YhY4wxRVggMMaYmLNAYIwxMWeBwBhjYs4CgTHGxJwFAmOMiTkLBMYYE3P/Fx0/z00tig5dAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "acf_plot = plot_acf(df_ice_cream.production, lags=100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Based on decaying ACF, we are likely dealing with an Auto Regressive process"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PACF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pacf_plot = plot_pacf(df_ice_cream.production)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Based on PACF, we should start with an Auto Regressive model with lags 1, 2, 3, 10, 13"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# On stock data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "import yfinance as yf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "#define the ticker symbol\n",
    "tickerSymbol = 'SPY'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "#get data on this ticker\n",
    "tickerData = yf.Ticker(tickerSymbol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "#get the historical prices for this ticker\n",
    "tickerDf = tickerData.history(period='1d', start='2015-1-1', end='2020-1-1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "tickerDf = tickerDf[['Close']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Close</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>186.16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2015-01-05</td>\n",
       "      <td>182.80</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2015-01-06</td>\n",
       "      <td>181.08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2015-01-07</td>\n",
       "      <td>183.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2015-01-08</td>\n",
       "      <td>186.59</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             Close\n",
       "Date              \n",
       "2015-01-02  186.16\n",
       "2015-01-05  182.80\n",
       "2015-01-06  181.08\n",
       "2015-01-07  183.33\n",
       "2015-01-08  186.59"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#see your data\n",
    "tickerDf.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(tickerDf.Close)\n",
    "plt.title('Stock Price over Time (%s)'%tickerSymbol, fontsize=20)\n",
    "plt.ylabel('Price', fontsize=16)\n",
    "for year in range(2015,2021):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stationarity: take first difference of this series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "#take first difference\n",
    "first_diffs = tickerDf.Close.values[1:] - tickerDf.Close.values[:-1]\n",
    "first_diffs = np.concatenate([first_diffs, [0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "#set first difference as variable in dataframe\n",
    "tickerDf['FirstDifference'] = first_diffs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Close</th>\n",
       "      <th>FirstDifference</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>186.16</td>\n",
       "      <td>-3.36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2015-01-05</td>\n",
       "      <td>182.80</td>\n",
       "      <td>-1.72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2015-01-06</td>\n",
       "      <td>181.08</td>\n",
       "      <td>2.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2015-01-07</td>\n",
       "      <td>183.33</td>\n",
       "      <td>3.26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2015-01-08</td>\n",
       "      <td>186.59</td>\n",
       "      <td>-1.50</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             Close  FirstDifference\n",
       "Date                               \n",
       "2015-01-02  186.16            -3.36\n",
       "2015-01-05  182.80            -1.72\n",
       "2015-01-06  181.08             2.25\n",
       "2015-01-07  183.33             3.26\n",
       "2015-01-08  186.59            -1.50"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tickerDf.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(tickerDf.FirstDifference)\n",
    "plt.title('First Difference over Time (%s)'%tickerSymbol, fontsize=20)\n",
    "plt.ylabel('Price Difference', fontsize=16)\n",
    "for year in range(2015,2021):\n",
    "    plt.axvline(pd.to_datetime(str(year)+'-01-01'), color='k', linestyle='--', alpha=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ACF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAEICAYAAABPgw/pAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAbyklEQVR4nO3df5wcdZ3n8dd7JpkQSCBAJoH8gCBENoHVwGMeRPy1WRGXeAqe53rkVkUfnOCduHp6p+h66HKnu+fenj44WVd2YUVOhZxybtaNhx6Qhy5KJAkRSbIxQ/gxY4BMQgYS8mOSmc/90TWxZ9IzXZ3UTHd/834+Hnmkq/pb1Z/q6npX9beqpxQRmJlZ82updwFmZlYMB7qZWSIc6GZmiXCgm5klwoFuZpYIB7qZWSIc6GYFkPSUpDcf5bRvkLS56Jrs+ONAt3EhaZWkXZIm1TBNSDpvLOuqh+HLFRE/jYjz61mTpcGBbmNO0jzgDUAAV9a1mCokTcgzzqwROdBtPLwPeBj4BnDN4MjsqP3flg2/X9I/ZY9/ko3+paQ9kv51Nv6DkjolvSBphaRZZdNfIOnH2XPPS/pMNn6SpK9I2pb9+8rgNwVJSyR1S/qUpOeAv6s0Lmv7NknrJfVK+pmkV1VaWEmXSPp51u5ZSV+V1DbScg2+Xtn0C7L3plfSBklXlj33DUm3SvpHSbslrZZ07tGtFkuNA93Gw/uAb2X//kDSzGoTRMQbs4evjogpEXGPpDcBfwa8GzgTeBq4G0DSVOD/Af8XmAWcB9yfzeNPgNcAi4BXA5cAny17uTOA04CzgesqjZN0MXAHcD1wOvB1YMUIXUj9wH8ApgOXApcB/36k5SqfUNJE4B+AHwEzgI8A35JU3iWzDPhT4FSgE/hCxTfRjjsOdBtTkl5PKRSXR8Ra4Ang3xzl7P4IuCMi1kXEAeDTwKVZl87bgOci4i8jYn9E7I6I1WXT3RwR2yOih1IYvrdsvgPA5yLiQETsG2HcB4GvR8TqiOiPiDuBA5R2FENExNqIeDgiDkXEU5TC//dyLuNrgCnAn0dEX0Q8APyAUogPujcifhERhyjtJBflnLclzoFuY+0a4EcRsSMb/jZl3S41mkXpqByAiNgD7ARmA3Mp7SyqTpc9nlU23BMR+4dNM3zc2cAnsm6QXkm92WvOGjYdkl4p6QeSnpP0EvBFSkfrecwCuiJiYFi9s8uGnyt7vJfSDsAMn+yxMSNpMqXukdasLxpgEjBN0quBl4ETyyY5o8ost1EK1sH5n0Sp++M3QBdDj2IrTbchGz4rGzeo0p8cHT6uC/hCROTp3vga8CiwLCJ2S/oY8K4c0w3WOldSS1monwX8Ouf0dhzzEbqNpXdQ6k9eSKlbYBGwAPgppX719cA7JZ2YXcZ37bDpnwdeUTb8beADkhZlfddfBFZn3Ro/AM6Q9LHsJOhUSYuz6b4DfFZSu6TpwE3A/6pxWf4G+JCkxSo5SdK/yPruh5sKvATskfQ7wL+rslzlVlPa0X1S0kRJS4C3k50rMBuNA93G0jXA30XEMxHx3OA/4KuU+rW/DPRRCrg7KfUHl/s8cGfWxfHuiLgf+M/A94BngXOBqwEiYjdwOaXwew7YAvx+Np//CqwBHgN+BazLxuUWEWso9aN/FdhF6WTk+0do/h8pnSfYTWlHcM+w54cs17DX6aN0aedSYAfwV8D7IuKfa6nXjk/yDS7MzNLgI3Qzs0Q40M3MEuFANzNLhAPdzCwRdbsOffr06TFv3rx6vbyZWVNau3btjohor/Rc3QJ93rx5rFmzpl4vb2bWlCQ9PdJz7nIxM0uEA93MLBEOdDOzRDjQzcwS4UA3M0tE1UCXdIek7ZIeH+F5Sboluy3YY9mdXcZE/0Bw/6bnueX+Ldy/6Xn6B/x3aMzMBuW5bPEblP7C3DdHeH4pMD/7t5jS34JePELbo9Y/ELz39tWs7+plX18/k9taWTR3Gnddu5jWFhX9cmZmTafqEXpE/AR4YZQmVwHfjJKHKd284MyiChy0avN21nf1srevnwD29vWzvquXVZu3F/1SZmZNqYg+9NmU7uYyqJuht8s6TNJ1ktZIWtPT01PTi2zY9hL7+vqHjNvX18/GbS/VWK6ZWZqKCPRK/R0VO7cj4raI6IiIjvb2ir9cHdEFs05mclvrkHGT21pZOOvkmuZjZpaqIgK9m9LNcgfNYej9Ggux5PwZLJo7DfX3QQxwYtaHvuT8GUW/lJlZUyoi0FcA78uudnkN8GJEPFvAfIdobRF3XbuY9i3/wLTuh/ifyy7yCVEzszJVr3KR9B1gCTBdUjfwOWAiQET8NbASeCuleyzuBT4wVsW2togTe7dyYu9WLlswc6xexsysKVUN9IhYVuX5AD5cWEVmZnZU/EtRM7NEONDNzBLhQDczS4QD3cwsEQ50M7NEONDNzBLhQDczS4QD3cwsEQ50M7NEONDNzBLhQDczS4QD3cwsEQ50M7NEONDNzBLhQDczS4QD3cwsEQ50M7NEONDNzBLhQDczS4QD3cwsEQ50M7NEONDNzBLhQDczS4QD3cwsEQ50M7NEONDNzBLhQDczS4QD3cwsEbkCXdIVkjZL6pR0Y4Xnz5L0oKRHJT0m6a3Fl2pmZqOpGuiSWoFbgaXAQmCZpIXDmn0WWB4RFwFXA39VdKFmZja6PEfolwCdEbE1IvqAu4GrhrUJ4OTs8SnAtuJKNDOzPPIE+mygq2y4OxtX7vPAeyR1AyuBj1SakaTrJK2RtKanp+coyjUzs5HkCXRVGBfDhpcB34iIOcBbgbskHTHviLgtIjoioqO9vb32as3MbER5Ar0bmFs2PIcju1SuBZYDRMTPgROA6UUUaGZm+eQJ9EeA+ZLOkdRG6aTnimFtngEuA5C0gFKgu0/FzGwcVQ30iDgE3ADcB2yidDXLBkk3S7oya/YJ4IOSfgl8B3h/RAzvljEzszE0IU+jiFhJ6WRn+bibyh5vBF5XbGlmZlYL/1LUzCwRDnQzs0Q40M3MEuFANzNLhAPdzCwRDnQzs0Q40M3MEuFANzNLhAPdzCwRDnQzs0Q40M3MEuFANzNLhAPdzCwRDnQzs0Q40M3MEuFANzNLhAPdzCwRDnQzs0Q40M3MEuFANzNLhAPdzCwRDnQzs0Q40M3MEuFANzNLhAPdzCwRDnQzs0Q40M3MEuFANzNLRK5Al3SFpM2SOiXdOEKbd0vaKGmDpG8XW6aZmVUzoVoDSa3ArcDlQDfwiKQVEbGxrM184NPA6yJil6QZY1WwmZlVlucI/RKgMyK2RkQfcDdw1bA2HwRujYhdABGxvdgyzcysmjyBPhvoKhvuzsaVeyXwSkkPSXpY0hWVZiTpOklrJK3p6ek5uorNzKyiPIGuCuNi2PAEYD6wBFgG/K2kaUdMFHFbRHREREd7e3uttZqZ2SjyBHo3MLdseA6wrUKbv4+IgxHxJLCZUsCbmdk4yRPojwDzJZ0jqQ24GlgxrM33gd8HkDSdUhfM1iILNTOz0VUN9Ig4BNwA3AdsApZHxAZJN0u6Mmt2H7BT0kbgQeA/RcTOsSrazMyOVPWyRYCIWAmsHDbuprLHAXw8+2dmZnXgX4qamSXCgW5mlggHuplZIhzoZmaJcKCbmSXCgW5mlggHuplZIhzoZmaJcKCbmSXCgW5mlggHuplZIhzoZmaJcKCbmSXCgW5mlggHuplZIhzoZmaJcKCbmSXCgW5mlggHuplZIhzoZmaJcKCbmSXCgW5mlggHuplZIhzoZmaJcKCbmSXCgW5mlggHuplZIhzoZmaJyBXokq6QtFlSp6QbR2n3LkkhqaO4Es3MLI+qgS6pFbgVWAosBJZJWlih3VTgj4HVRRdpZmbV5TlCvwTojIitEdEH3A1cVaHdfwG+BOwvsD4zM8spT6DPBrrKhruzcYdJugiYGxE/GG1Gkq6TtEbSmp6enpqLNTOzkeUJdFUYF4eflFqALwOfqDajiLgtIjoioqO9vT1/lWZmVlWeQO8G5pYNzwG2lQ1PBS4EVkl6CngNsMInRs3MxleeQH8EmC/pHEltwNXAisEnI+LFiJgeEfMiYh7wMHBlRKwZk4rNzKyiqoEeEYeAG4D7gE3A8ojYIOlmSVeOdYFmZpbPhDyNImIlsHLYuJtGaLvk2MsyM7Na+ZeiZmaJcKCbmSXCgW5mlggHuplZIhzoZmaJcKCbmSXCgW5mlggHuplZIhzoZmaJcKCbmSXCgW5mlggHuplZIhzoZmaJcKCbmSXCgW5mlggHuplZIhzoZmaJcKCbmSXCgW5mlggHuplZIhzoZmaJcKCbmSXCgW5mlggHuplZIhzoZmaJcKCbmSXCgW5mlggHuplZInIFuqQrJG2W1CnpxgrPf1zSRkmPSbpf0tnFl2pmZqOpGuiSWoFbgaXAQmCZpIXDmj0KdETEq4DvAl8qulAzMxtdniP0S4DOiNgaEX3A3cBV5Q0i4sGI2JsNPgzMKbZMMzOrJk+gzwa6yoa7s3EjuRb4YaUnJF0naY2kNT09PfmrNDOzqvIEuiqMi4oNpfcAHcBfVHo+Im6LiI6I6Ghvb89fpZmZVTUhR5tuYG7Z8Bxg2/BGkt4M/AnwexFxoJjyzMwsrzxH6I8A8yWdI6kNuBpYUd5A0kXA14ErI2J78WWamVk1VQM9Ig4BNwD3AZuA5RGxQdLNkq7Mmv0FMAX435LWS1oxwuzMzGyM5OlyISJWAiuHjbup7PGbC67LzMxq5F+KmpklwoFuZpYIB7qZWSIc6GZmiXCgm5klwoFuZpYIB7qZWSIc6GZmiXCgm5klwoFuZpYIB7qZWSIc6GZmiXCgm5klwoFuZpYIB7qZWSIc6GZmiXCgm5klItcdi6wx9Q8EqzZvZ8O2l7hg1sksOX8GrS2qd1lmVicO9CbVPxC89/bVrO/qZV9fP5PbWlk0dxp3XbvYoT6OvFO1RuJAb1KrNm9nfVcve/v6Adjb18/6rl5Wbd7OZQtm1rm644N3qtZokgn0F/cepD/imOYRI0x/tHPNW04cxSv84skX2JeF+aB9ff384skX+N3Zp5TNe+Sayl+31rfu2N7p8VG+PmtdvkP9weond7Ll+T3MnzmFxeecPiSkg+BnT+zg0Wd2se/gAFDaqT76zC7ueeQZXnvu9KG1HP1ijPi5HE3/QPCLJ1+gc/sezp0xhUvOOa3iTuYYN5lxUr8ix+L9mXLCBM48ZXLxMyahQH9ixx4OZBvW8eDkEybSNqGFA4d+u8xtE1o4+YSJPNHzch0ra34DA8EXf7iJzu176Ds0QNuEFs6bMYXPLF1AS1kornu6l/3DPnP7Dw7w6DO9nDN9yniXfVje+q2OTqne5Gj4KpcmtWjuNM6bMQUO9UEMMCnbaBfNnVbv0pre+q5eOrfv4cChAQI4cGiAzu17WN/VO6TdvNNPom3C0E2obUIL804/aci4gYFg3dO7uHddN+ue3sXAwNgeceat39KTzBH6WBkYCNZ39fLUzpeZd/pJLJo7rSGOclpaxGeWLuD6j36C/ikzueFD1zVMbc3uqZ0v03do6JF336EBntr5MhefferhcYM71Q3P7IDWCUyaOOGInWo9jpbz1t/oGnXba2QO9FE0+lfXlhbRtrMTdnZy8dmfqnc5yRg88h7enTX8yDvPTrX8aBmGHi2PVbjmrb+RNfq216jc5TIKf3UdW+PdFZFXLd1ZgzvVyU8/xMVnn3pE2Ix2tNwI9Tcqb3tHx0foo0jlq2se4/31tpGPwIrszqrH0XIK3XFFb3vHS/eNA30UKXx1zaMe4VqProhaFNWdlaeffSw0e3dckdte0Z/vRt455OpykXSFpM2SOiXdWOH5SZLuyZ5fLWle0YXWQwpfXfOox9fbenRF1MPg0fKUjd9n8pM/5Y/fNL8hvoU0uiK3vSI/34M7h1se2MJ313ZzywNb+OIPNzVMd2HVQJfUCtwKLAUWAsskLRzW7FpgV0ScB3wZ+G9FF1oP9doYx7tveSzCtdoy5L3kL8+8Gl21fnY7UpHbXpGf70bv21e1X6FJuhT4fET8QTb8aYCI+LOyNvdlbX4uaQLwHNAeo8z8tLMXxOWfuaPmgtf/cj0Ai169aMj4PQcOMTBGP3vbsvFxAOYvvHBM5l8uInjmhX3sO9hPBEgweWIrZ502GenID3MRte3ef4jf9O4b8qs4CWZPm8zUE2rvlcuzDINt9h44CAi1qOJy1vp+FCnve5un3Xh+hsbiNSOCPQf62X+wnxMmtjJlUutRv/+1zKvaMuSZV5Gf757dB9ixp++I8e1T2pg+dVKueUxsbWHyxNaaXrfc8g+9dm1EdFR6Ls/SzAa6yoa7gcUjtYmIQ5JeBE4HdpQ3knQdcB3AlDPPzVX8cMODfCRFbox5N4giXnPPgf7D4QWlnx7vO9jPngP9FT98RdQ2ZVIrkye2HhGaUyZV/tBVW848yyCJs06bzJ4DbRw42M+kETbGWt+PIsM173ubp914foaKfs1adr6/7twKrW3MmnVmxfWZd155liHvvIr8fJ8wsRWJI3YOk0YI6PHekecJ9Eq7zuGHwnnaEBG3AbcBdHR0xD3XX5rj5fNZ98yuwz/9HxgIrr/vdvqnzORtv/uWUU9afPjbnwbgpk+uOOYa8s5rtHb3ruvmu2u7h44MuPQVp/POi+eMWW15T/TkeW+LXIZa55VnHRS5zouWp7ZaPt9FvOa6p3dxywNbQKUusojS34p5+6tmHz6BPdi3PHDCNGidQM/uA5wyudKfS6g+r7xqmVctJzJHez9qPcFaaV7Tp7Qxf+bUmpa13PIPjfxcnkDvBuaWDc8Bto3QpjvrcjkFeKGmKgsy+IbvWfgOaJ3ALQ9saZjL4fKo15U1LS3i4rNPHXWjyvveFrkMx8uVRnkV/fkeGAj6Tj+P/ikzWff0ropBl+cSwsG+ZSa0ASNftVTk5Yi1zCvP5zuPwb79Zr7K5RFgvqRzJLUBVwPDd10rgGuyx+8CHhit/3wsDflgqaXhTloMbkD7zn5dxRN8g2f3J01oQdBQV9bkfW+LXIZGfj/qocjPd/nOYd85bxjxio08J7Dznnis5WR4NUXOqxaDO4d3Xjyn4U5yVz1Cz/rEbwDuA1qBOyJig6SbgTURsQK4HbhLUielI/Orx7Lo0dTrx0B5jnTyHF018hFA3ve2yGUo+v3Is57qpaij5bzyHlUP7lSHdzOU71TzfpPKM6+8ipxXKnKd4o2IlcDKYeNuKnu8H/jDYks7OvX4ip73a3DeDaior4dFq+W9LXIZippXI3fH1aM7q8gddN5wbeSdPTT2Dj+P5H4pWsteu6iVV4/+w3po9iOivOupkWsrch0UuYOuJVwbcWcPjb3Dzyu5QM/7wSpy5eUN6mY/wdfI3UF5NPIOtR7dWUXvoBv1m2VejbzDzyu5QId8H6wiV149+g/rpZk32kbeodajO6vZd9BFG4s/CDbe3TdJBnoeRa68evQf2pGqbUCNvEOtV23NvIMu2lj8QbBKPQBjKZlAv3DWKTXdbPnFfX3846+eZW/ZjZYnt7XypgUzuOis2jei5ddfyk+29PDPz+7md86cyhvntx++Ke/wCzirbTxHc9PoIdMPm/zQQNByxvn0nTSDnXsO8Pr502lt0ZBXGbOLTMfp4tX+geBD31rLyxe8g2iZwK0PdnLhnFP42h9dPGQ93PmBS3iocwebn9/NK2dO5XXnTa948+TD5Vd5Y0Z6dqTJRlu3f3tNBz97Yie/zmp77bmnH1nbMbyfo03aHDeL/q1j3UYqmXvaZB7cvJ0N2146/KcELph1MlddNIuWGv/MwUOdO9ja8/KQHoCtPS+z7cV9LJx1cuG1D0om0Idfj1rN5QvPYNHcp1nf1cu+vn4mt7WyaO403rLwjFE38NEsvfBMll545lFNO1b6B4L33r6ana98O9EygU9+7zEWzZ3GXdcuPurlbET3b3qex3/zItFa2oD2Huzn8d+8yPquXi5bMHNI26suml2PEnP5V8fwa2A7dvdcfymrNm9n47aXWDjrZJacP+OotpNnX9zP/oP9Q8btP9jPcy/u59ST2ooq9wjJBHqtWlvEXdcuLmTlNbJVm7ezvqv3t0HX18/6rl5Wbd5+RNA1sw3bXmJf39ANaF9fPxu3vZTUctrYam0Rly2YecyfmQtmnczkttYjegDG8ugcjvNb0A2uvI9cNp/LFsxMLsxh9KBLyeAGVG48NiCzSpacP4NFc6dxYlsrAk7MegCWnD9jTF/3uD1CP17U60hhvA1uQMO70MZ6AzKrpF49AA70xB0vQXe8dKFZ8yiq+6YWVW9wMVY6OjpizZo1dXnt403/QDjozBIh6ZhucGFNrh5HCmY2/o7rk6JmZilxoJuZJcKBbmaWCAe6mVkiHOhmZomo22WLknqAp49y8unAjgLLqYdmXwbXX3/Nvgyu/+icHRHtlZ6oW6AfC0lrRroOs1k0+zK4/vpr9mVw/cVzl4uZWSIc6GZmiWjWQL+t3gUUoNmXwfXXX7Mvg+svWFP2oZuZ2ZGa9QjdzMyGcaCbmSWi6QJd0hWSNkvqlHRjveuplaSnJP1K0npJTfH3gyXdIWm7pMfLxp0m6ceStmT/N+xt40eo//OSfpOth/WS3lrPGkcjaa6kByVtkrRB0kez8U2xDkapv5nWwQmSfiHpl9ky/Gk2/hxJq7N1cI+ksbthaJ46m6kPXVIr8GvgcqAbeARYFhEb61pYDSQ9BXRERNP8oELSG4E9wDcj4sJs3JeAFyLiz7Md66kR8al61jmSEer/PLAnIv57PWvLQ9KZwJkRsU7SVGAt8A7g/TTBOhil/nfTPOtAwEkRsUfSROCfgI8CHwfujYi7Jf018MuI+Fq96my2I/RLgM6I2BoRfcDdwFV1ril5EfET4IVho68C7swe30lpA21II9TfNCLi2YhYlz3eDWwCZtMk62CU+ptGlOzJBidm/wJ4E/DdbHzd10GzBfpsoKtsuJsm+2BQ+hD8SNJaSdfVu5hjMDMinoXSBgs04z3tbpD0WNYl05DdFcNJmgdcBKymCdfBsPqhidaBpFZJ64HtwI+BJ4DeiDiUNal7HjVboFe6b1rz9BmVvC4iLgaWAh/OugNs/H0NOBdYBDwL/GV9y6lO0hTge8DHIuKletdTqwr1N9U6iIj+iFgEzKHUW7CgUrPxrWqoZgv0bmBu2fAcYFudajkqEbEt+3878H8ofTCa0fNZ3+hgH+n2OtdTk4h4PttAB4C/ocHXQ9Zv+z3gWxFxbza6adZBpfqbbR0MioheYBXwGmCapMFbedY9j5ot0B8B5mdnltuAq4EVda4pN0knZSeFkHQS8Bbg8dGnalgrgGuyx9cAf1/HWmo2GISZf0kDr4fshNztwKaI+B9lTzXFOhip/iZbB+2SpmWPJwNvpnQu4EHgXVmzuq+DprrKBSC7tOkrQCtwR0R8oc4l5SbpFZSOyqF0g+5vN0P9kr4DLKH050KfBz4HfB9YDpwFPAP8YUQ05InHEepfQumrfgBPAdcP9kc3GkmvB34K/AoYyEZ/hlI/dMOvg1HqX0bzrINXUTrp2UrpQHh5RNycbdN3A6cBjwLviYgDdauz2QLdzMwqa7YuFzMzG4ED3cwsEQ50M7NEONDNzBLhQDczS4QD3cwsEQ50M7NE/H/r/x9i1MHFJAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "acf_plot = plot_acf(tickerDf.FirstDifference)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ACF isn't that informative"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PACF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pacf_plot = plot_pacf(tickerDf.FirstDifference)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## PACF also doesn't tell us much"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
